Sampling expansion in function spaces associated with the linear canonical transform

被引：3

作者：

Liu, Xiaoping ^{[1
]}

Shi, Jun ^{[1
]}

Sha, Xuejun ^{[1
]}

Zhang, Naitong ^{[1
,2
]}

机构：

[1] Harbin Inst Technol, Commun Res Ctr, Harbin 150001, Peoples R China

[2] Harbin Inst Technol, Shenzhen Grad Sch, Shenzhen 518055, Peoples R China

来源：

SIGNAL IMAGE AND VIDEO PROCESSING | 2014年 / 8卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Linear canonical transform; Riesz bases; Frames; Function spaces; Sampling theorem; BAND-LIMITED SIGNALS; RECONSTRUCTION; DOMAIN;

D O I：

10.1007/s11760-013-0507-5

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

In this paper, we investigate sampling expansion for the linear canonical transform (LCT) in function spaces. First, some properties of the function spaces related to the LCT are obtained. Then, a sampling theorem for the LCT in function spaces with a single-frame generator is derived by using the Zak Transform and its generalization to the LCT domain. Some examples are also presented.

引用

页码：143 / 148

页数：6

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